Transcript PPT
PYTS/ASTR 206 – Exploring the Solar System from the Earth
Announcements
Homework
1 due…
Make sure you give it to Kevin before he leaves
Late homeworks can be turned in class on
Tuesday February 3rd for 50% credit
Kevin
has set up a facebook page
“Shane Byrne's PTYS 206 class”
Can use it to organize homework/study groups etc…
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Exploring the Solar System from Earth
PTYS/ASTR 206 – The Golden Age of Planetary Exploration
Shane Byrne – [email protected]
PYTS/ASTR 206 – Exploring the Solar System from the Earth
In this lecture…
Telescopes and how they work
Reflectors and refractors
Resolution and magnification
Atmospheric effects
Spacecraft and how they work
Fly-bys, Orbiters & Landers
Tricks of the trade
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PYTS/ASTR 206 – Exploring the Solar System from the Earth
Why do we use telescopes?
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PYTS/ASTR 206 – Exploring the Solar System from the Earth
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Why use telescopes?
To make things bigger
When light levels are high
Very nearby planets
Pirate ships
Spying on your neighbors
Etc…
Phoenix lander is a few m
across… but a few 100km
away!
To make things brighter
When light levels are low
Most of astronomy
Far away planets
Small objects
PYTS/ASTR 206 – Exploring the Solar System from the Earth
What have telescopes done for planetary astronomy?
Plenty!
Heliocentric vs. geocentric solar system
Objects visible with the naked eye
Sun
Moon
Mercury (if you’re lucky)
Venus
Mars
Jupiter
Saturn
Uranus (barely) – still discovered with a telescope
Neptune
Discovery of Asteroids
Discovery of Kuiper Belt
Discovery of moons of other planets
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PYTS/ASTR 206 – Exploring the Solar System from the Earth
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How do telescopes work?
They take light over a wide area and put it into a small area
We can do this with either refraction or reflection
Bigger is better!
Light from distant objects comes in parallel rays
The bigger the area of the telescope the more light you can collect
The human eye is like an adjustable-size
telescope
Human eye in daylight
•Plenty of light
Human eye at night
•Iris dilates
•Bigger collecting area
•You can see fainter things
PYTS/ASTR 206 – Exploring the Solar System from the Earth
Refractors
Light travels slower in glass than air
Waves are extended – so they change direction
Flat sheets of glass produce no net effect
Refraction works in reverse when light
leave the glass
Light hasn’t been concentrated onto a
smaller area
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PYTS/ASTR 206 – Exploring the Solar System from the Earth
Curved pieces of glass (lenses) do produce a change
Parallel light converges on a single point – the focal point
Distance between the lens and the focal point – the focal length
Depends on the curvature of the lens and its size
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PYTS/ASTR 206 – Exploring the Solar System from the Earth
A refracting telescope
First lens (objective) gathers light
Uses a second lens (eyepiece) to make the light parallel again
• So the human eye can use it!
Net effect
Telescope lens much bigger than eye so more light gathered
Things are brighter
Magnifies objects
Magnification is ratio of focal lengths
Magnification = Focal length of objective
Focal length of eyepiece
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PYTS/ASTR 206 – Exploring the Solar System from the Earth
The problem with refractors
The amount of refraction depends on
wavelength
Red light and Blue light focus in different
places
Image gets blurred
Chromatic aberration
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PYTS/ASTR 206 – Exploring the Solar System from the Earth
The problem with refractors – cont.
We need big lenses to gather a lot of light
… but big lenses have long focal lengths
Telescopes rapidly get very very unwieldy!
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PYTS/ASTR 206 – Exploring the Solar System from the Earth
Reflectors
Pioneered by Isaac Newton
Flat mirrors don’t focus light
Use curved mirrors to concentrate light
These mirrors also have a focal length
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PYTS/ASTR 206 – Exploring the Solar System from the Earth
Why parabolic?
Spherical mirrors are easier
to make….
Spherical mirrors don’t focus
light well
Spherical aberration fives
you a blurry image
Other aberrations can also
be corrected
Coma
Astigmatism
Defects in the mirror surface
should be small
Smaller than the wavelength of
light
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PYTS/ASTR 206 – Exploring the Solar System from the Earth
Focus point is in front of the mirror – usable… but unpopular
Several designs to get light focused somewhere more convenient
Newton’s original design used a flat
mirror to redirect focused light to the
side
If you want to use your eye then you
still need an eyepiece
Magnification is still just the ratio of
the focal lengths
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PYTS/ASTR 206 – Exploring the Solar System from the Earth
Other schemes to redirect the focused light
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PYTS/ASTR 206 – Exploring the Solar System from the Earth
Benefits of reflectors
You can make the mirrors huge and the focal length short
Keck telescopes – mirrors are 10m across? (built in segments)
No chromatic aberration
All colors behave the same
Plans for a 30m telescope – the CELT
California Extremely Large Telescope
3 times the size means 9 times the area!
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PYTS/ASTR 206 – Exploring the Solar System from the Earth
Resolution
There’s a limit to what even perfect telescopes can do
A single point of light gets spread out a little
Called the diffraction limit
Resolution – how close can two things be together without joining up.
It’s easy to see
that there are two
separate objects
here.
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PYTS/ASTR 206 – Exploring the Solar System from the Earth
As things get closer together
we can no longer the
individual objects
The closest angularseparation they can have
and still be separate is the
resolution.
Depends on size of telescope
Depends on wavelength of
light
Same principle to know what
the smallest feature on a
planet you can see is.
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PYTS/ASTR 206 – Exploring the Solar System from the Earth
Example
Smallest object/separation that we can resolve =
Warning: This formula produces radians
wavelength
Size of telescope
The textbook has a formula that produces arcseconds…
Can we see the Apollo lander on the Moon?
The lander is almost 4m across
The Moon is 384,000,000m away
Angular size 10-8 radians
Wavelength of visible light 5*10-7 m
Size of Keck telescope is 10m
Resolution of Keck 5*10-8 radians
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PYTS/ASTR 206 – Exploring the Solar System from the Earth
Can we see the Apollo lander on the Moon?
The lander is almost 4m across
The Moon is 384,000,000m away
Angular size 1*10-8 radians
Wavelength of visible light 5*10-7 m
Size of Keck telescope is 10m
Resolution of Keck 5*10-8 radians
We can’t resolve the lander.
We’d need a telescope 50m across to be
able to see the Apollo lander.
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PYTS/ASTR 206 – Exploring the Solar System from the Earth
Increasing Magnification
But the Same Resolution
Same Magnification
Increasing Resolution
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PYTS/ASTR 206 – Exploring the Solar System from the Earth
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Atmospheric effects
The diffraction is only a theoretical ‘best-case scenario’
Earth’s atmosphere is a pretty turbulent place
Especially the lower atmosphere – observatories are on mountains!
Makes stars twinkle
Astronomers call this effect ‘seeing’
Lousy seeing
=Lousy images
Good Seeing
=Good images
Typically, seeing ~ 0.5 arcsec
(~2.5*10-6 radians)
E.g. on the Moon, that’s a feature ~1km across
Equivalent to a telescope only 10cm in diameter !!!
PYTS/ASTR 206 – Exploring the Solar System from the Earth
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What’s the problem?
Neptune
Different parcels of air
have different
temperatures
Light-wave gets bent and warped
Telescope
PYTS/ASTR 206 – Exploring the Solar System from the Earth
What’s the solution?
Adaptive optics - Flexible mirror
Flexible
mirror
Mirror deforms in a way that cancels out the
Atmosphere changes all the time
Mirror updates its shape many time per second
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PYTS/ASTR 206 – Exploring the Solar System from the Earth
How does the mirror know what to do?
You need a nearby guide-star
Starlight passes through the same patch of
atmosphere as planets light
Star is supposed to be a point
Wavefront sensor detects distortion…
…and figures out how to warp the mirror
Usually there’s no natural guide star
So we use a laser
Reflects of a specific layer high in the atmosphere
High sodium layer from meteorite burn ups
90-100km high
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PYTS/ASTR 206 – Exploring the Solar System from the Earth
Atmospheric effects – cont.
We can’t use all wavelengths from ground-based telescopes
Gases in our atmosphere absorb light at many wavelengths
This time there’s no real way around the problem
Atmosphere screens out
Some infrared wavelengths
Some microwave frequencies
Most UV light – Good!
X-rays – Very Good!
Gamma Rays – Very very Good!!
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PYTS/ASTR 206 – Exploring the Solar System from the Earth
By-passing the Atmosphere is the best option…
Hubble and its
successor
Infrared - Spitzer
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PYTS/ASTR 206 – Exploring the Solar System from the Earth
Spacecraft
Fly-bys
Usually once off encounters
Can swing by multiple planets (Voyager)
…rarely the same planet multiple times
Orbiters
Usually just one destination (can’t carry the fuel needed to
escape)
Long-term monitoring – missions can last years
Landers
Touch-down on solid planets
Parachute into gas giant planets
Different type of instrument
Lots of hybrids
Lander/Flyby – Deep Impact
Orbiter/Flyby - Cassini
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PYTS/ASTR 206 – Exploring the Solar System from the Earth
Gravity assist
1st tried by mariner 10
Common now for missions
Momentum transfer with a planet
Big effect on spacecraft velocity
Tiny effect on planet’s velocity
Narrows your range of launch dates
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PYTS/ASTR 206 – Exploring the Solar System from the Earth
Launch windows
Earth moves at 27 km s-1
We don’t want to waste that
energy
To get to Mars - Earth is in a
favorable position every two years
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PYTS/ASTR 206 – Exploring the Solar System from the Earth
In this lecture…
Telescopes and how they work
Reflectors and refractors
Resolution and magnification
Atmospheric effects
Spacecraft and how they work
Fly-bys, Orbiters & Landers
Tricks of the trade
Next: Exploring the solar system from the Earth
Reading
Chapter 6 to revise this lecture
Chapter 16 for next Tuesday
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